Details

Time bar (total: 15.0s)

sample280.0ms

Algorithm
intervals
Results
70.0ms547×pre80true
27.0ms111×body320valid
22.0ms291×body80nan
19.0ms107×body160valid
7.0ms21×body640valid
1.0ms17×body80valid

simplify418.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
379
243
125
014

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* c a))))
0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
0.1b
(- (* b b) (* 4.0 (* c a)))
27.0b
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
9.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
81.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
7.0ms
(- (* b b) (* 4.0 (* c a)))
80.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

series441.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(sqrt (- (* b b) (* 4.0 (* c a))))
175.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* c a)))) b) 2.0) a)
67.0ms
(- (* b b) (* 4.0 (* c a)))
105.0ms
(- (sqrt (- (* b b) (* 4.0 (* c a)))) b)

simplify2.4s

Counts
195 → 195
Iterations
IterNodes
done5001
22320
1798
0321

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune109.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.4b

localize25.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
associate-/l*
associate-/r* div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 77
Calls
2 calls:
7.0ms
(/ (* a c) b)
28.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series46.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
24.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.8s

Counts
83 → 83
Iterations
IterNodes
done5049
21836
1456
0171

prune566.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.2b
(expm1 (log1p (/ (* a c) b)))
0.3b
(/ (* a c) b)
0.3b
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
expm1-log1p-u
pow1 log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod
log1p-udef expm1-log1p log1p-expm1 expm1-udef associate-/l/
Counts
4 → 95
Calls
4 calls:
1.0ms
(log1p (/ (* a c) b))
0.0ms
(expm1 (log1p (/ (* a c) b)))
15.0ms
(/ (* a c) b)
20.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)

series356.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(log1p (/ (* a c) b))
128.0ms
(expm1 (log1p (/ (* a c) b)))
24.0ms
(/ (* a c) b)
127.0ms
(/ (/ (* -2.0 (expm1 (log1p (/ (* a c) b)))) 2.0) a)

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done5000
21753
1495
0206

prune794.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 2.4b

regimes693.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.4s3586×body320valid
814.0ms8237×body80nan
670.0ms16237×pre80true
501.0ms2993×body160valid
146.0ms524×body640valid
59.0ms897×body80valid